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A variational inequality of Kirchhoff-type in .
Jiabin Zuo1,2, Tianqing An1, Wei Liu1
11College of Science, Hohai University, Nanjing, P.R. China.
Journal of Inequalities and Applications
|March 7, 2019
Summary
This study explores radial solutions for variational inequalities using non-smooth critical point theory. Researchers identified conditions for the existence of these nontrivial solutions.
Area of Science:
- Mathematical Analysis
- Nonlinear Analysis
- Partial Differential Equations
Background:
- Variational inequalities are fundamental in mathematics and applied sciences.
- Understanding the existence of solutions is crucial for theoretical development.
- Radial solutions simplify problems by exploiting symmetry.
Purpose of the Study:
- To investigate the existence of nontrivial radial solutions.
- To analyze a specific class of variational inequalities.
- To apply advanced mathematical techniques to a challenging problem.
Main Methods:
- Utilizing non-smooth critical point theory.
- Employing Szulkin-type functionals.
- Developing theoretical frameworks for existence proofs.
Main Results:
- Established the existence of nontrivial radial solutions under certain conditions.
- Demonstrated the applicability of the chosen theoretical framework.
- Provided insights into the behavior of solutions for variational inequalities.
Conclusions:
- The study confirms the existence of nontrivial radial solutions.
- Non-smooth critical point theory is effective for such problems.
- Findings contribute to the understanding of variational inequalities.
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